EduSahara™ Assignment
Name : Graph of Linear Equation
Chapter : Linear Equations and Simultaneous Linear Equations
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
The equation of x-axis is
(i)
x
=
0
(ii)
y
=
1
(iii)
y
=
x
(iv)
x
=
1
(v)
y
=
0
Question
2
2.
The equation of y-axis is
(i)
y
=
x
(ii)
y
=
1
(iii)
y
=
0
(iv)
x
=
0
(v)
x
=
1
Question
3
3.
Any line parallel to x-axis is
(i)
a horizontal line
(ii)
a curved line
(iii)
a vertical line
(iv)
an oblique line
Question
4
4.
Any line parallel to y-axis is
(i)
a curved line
(ii)
a vertical line
(iii)
an oblique line
(iv)
a horizontal line
Question
5
5.
A line which is neither parallel to x-axis nor y-axis is
(i)
a curved line
(ii)
a horizontal line
(iii)
a vertical line
(iv)
an oblique line
Question
6
6.
The point of intersection of x-axis and y-axis
(i)
(
1
,
0
)
(ii)
(
0
,
0
)
(iii)
(
0
,
2
)
(iv)
(
1
,
1
)
(v)
(
9
,
0
)
Question
7
7.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
x
=
y
(ii)
x
=
k
(iii)
x
=
0
(iv)
y
=
0
(v)
y
=
k
Question
8
8.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
x
=
y
(ii)
x
=
0
(iii)
y
=
0
(iv)
y
=
k
(v)
x
=
k
Question
9
9.
Find the equation of the displayed line
(i)
y
=
(
−
5
)
(ii)
y
=
(
−
6
)
(iii)
x
=
(
−
6
)
(iv)
3
y
=
(
−
6
)
(v)
y
=
(
−
7
)
Question
10
10.
Find the equation of the displayed line
(i)
4
x
=
(
−
5
)
(ii)
y
=
(
−
5
)
(iii)
x
=
(
−
6
)
(iv)
x
=
(
−
4
)
(v)
x
=
(
−
5
)
Question
11
11.
Find the equation of the line passing through the points
(
(
−
7
)
,
7
)
and
(
2
,
8
)
(i)
(
−
9
y
+
70
)
=
0
(ii)
(
−
x
+
9
y
−
79
)
=
0
(iii)
(
x
−
9
y
+
70
)
=
0
(iv)
(
−
x
+
9
y
−
69
)
=
0
(v)
(
2
x
−
9
y
+
70
)
=
0
Question
12
12.
The equation of the x-axis is
a)
x
=
1
b)
x
=
y
c)
x
=
0
d)
y
=
1
e)
y
=
0
(i)
{e}
(ii)
{c,d,e}
(iii)
{a,e}
(iv)
{b,e}
Question
13
13.
Which of the following lines pass through the origin?
(i)
(
2
x
+
13
y
−
36
)
=
0
(ii)
(
2
x
−
5
y
)
=
0
(iii)
(
−
11
x
−
5
y
−
68
)
=
0
(iv)
(
4
x
−
4
y
−
12
)
=
0
(v)
(
5
x
−
4
y
−
13
)
=
0
Question
14
14.
Which of the following lines do not pass through the origin?
(i)
(
−
x
−
8
y
)
=
0
(ii)
(
−
4
x
+
5
y
)
=
0
(iii)
(
−
3
x
+
10
y
+
25
)
=
0
(iv)
(
3
x
+
2
y
)
=
0
(v)
(
6
x
−
8
y
)
=
0
Question
15
15.
Find the set of points satisfying the equation
(
−
9
x
+
11
y
+
43
)
=
0
(i)
(
(
−
2
)
,
(
−
61
11
)
)
,
(
(
−
1
)
,
(
−
52
11
)
)
,
(
(
−
2
)
,
(
−
65
11
)
)
,
(
1
,
(
−
34
11
)
)
,
(
2
,
(
−
25
11
)
)
(ii)
(
(
−
2
)
,
(
−
61
11
)
)
,
(
(
−
1
)
,
(
−
52
11
)
)
,
(
0
,
(
−
43
11
)
)
,
(
1
,
(
−
34
11
)
)
,
(
2
,
(
−
25
11
)
)
(iii)
(
(
−
2
)
,
(
−
61
11
)
)
,
(
(
−
1
)
,
(
−
52
11
)
)
,
(
1
,
(
−
54
11
)
)
,
(
1
,
(
−
34
11
)
)
,
(
2
,
(
−
25
11
)
)
(iv)
(
(
−
2
)
,
(
−
61
11
)
)
,
(
(
−
1
)
,
(
−
52
11
)
)
,
(
0
,
(
−
43
11
)
)
,
(
1
,
(
−
34
11
)
)
,
(
4
,
(
−
3
11
)
)
(v)
(
(
−
2
)
,
(
−
61
11
)
)
,
(
(
−
1
)
,
(
−
52
11
)
)
,
(
0
,
(
−
43
11
)
)
,
(
0
,
(
−
23
11
)
)
,
(
2
,
(
−
25
11
)
)
Question
16
16.
Find the set of points satisfying the equation
y
=
(
−
3
2
x
−
6
)
(i)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
9
2
)
)
,
(
0
,
(
−
6
)
)
,
(
1
,
(
−
15
2
)
)
,
(
4
,
(
−
7
)
)
(ii)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
9
2
)
)
,
(
(
−
2
)
,
(
−
8
)
)
,
(
1
,
(
−
15
2
)
)
,
(
2
,
(
−
9
)
)
(iii)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
9
2
)
)
,
(
0
,
(
−
6
)
)
,
(
1
,
(
−
15
2
)
)
,
(
2
,
(
−
9
)
)
(iv)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
9
2
)
)
,
(
1
,
(
−
7
)
)
,
(
1
,
(
−
15
2
)
)
,
(
2
,
(
−
9
)
)
(v)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
9
2
)
)
,
(
0
,
(
−
6
)
)
,
(
0
,
(
−
13
2
)
)
,
(
2
,
(
−
9
)
)
Question
17
17.
Find the set of points satisfying the equation
x
=
(
7
10
y
+
3
10
)
(i)
(
(
−
2
)
,
(
−
23
7
)
)
,
(
(
−
1
)
,
(
−
13
7
)
)
,
(
1
,
(
−
10
7
)
)
,
(
1
,
1
)
,
(
2
,
17
7
)
(ii)
(
(
−
2
)
,
(
−
23
7
)
)
,
(
(
−
1
)
,
(
−
13
7
)
)
,
(
0
,
(
−
3
7
)
)
,
(
0
,
2
)
,
(
2
,
17
7
)
(iii)
(
(
−
2
)
,
(
−
23
7
)
)
,
(
(
−
1
)
,
(
−
13
7
)
)
,
(
0
,
(
−
3
7
)
)
,
(
1
,
1
)
,
(
2
,
17
7
)
(iv)
(
(
−
2
)
,
(
−
23
7
)
)
,
(
(
−
1
)
,
(
−
13
7
)
)
,
(
(
−
2
)
,
(
−
17
7
)
)
,
(
1
,
1
)
,
(
2
,
17
7
)
(v)
(
(
−
2
)
,
(
−
23
7
)
)
,
(
(
−
1
)
,
(
−
13
7
)
)
,
(
0
,
(
−
3
7
)
)
,
(
1
,
1
)
,
(
4
,
31
7
)
Question
18
18.
Find the set of points satisfying the equation
y
=
13
2
x
(i)
(
(
−
2
)
,
(
−
13
)
)
,
(
(
−
1
)
,
(
−
13
2
)
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
13
2
)
,
(
2
,
13
)
(ii)
(
(
−
2
)
,
(
−
13
)
)
,
(
(
−
1
)
,
(
−
13
2
)
)
,
(
0
,
0
)
,
(
1
,
13
2
)
,
(
4
,
15
)
(iii)
(
(
−
2
)
,
(
−
13
)
)
,
(
(
−
1
)
,
(
−
13
2
)
)
,
(
0
,
0
)
,
(
0
,
15
2
)
,
(
2
,
13
)
(iv)
(
(
−
2
)
,
(
−
13
)
)
,
(
(
−
1
)
,
(
−
13
2
)
)
,
(
0
,
0
)
,
(
1
,
13
2
)
,
(
2
,
13
)
(v)
(
(
−
2
)
,
(
−
13
)
)
,
(
(
−
1
)
,
(
−
13
2
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
13
2
)
,
(
2
,
13
)
Question
19
19.
Find the set of points satisfying the equation
(
3
x
+
2
y
−
1
)
=
0
(i)
(
(
−
2
)
,
7
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
1
2
)
,
(
0
,
0
)
,
(
2
,
(
−
5
2
)
)
(ii)
(
(
−
2
)
,
7
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
)
)
,
(
4
,
(
−
1
2
)
)
(iii)
(
(
−
2
)
,
7
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
5
2
)
)
(iv)
(
(
−
2
)
,
7
2
)
,
(
(
−
1
)
,
2
)
,
(
1
,
(
−
1
2
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
5
2
)
)
(v)
(
(
−
2
)
,
7
2
)
,
(
(
−
1
)
,
2
)
,
(
(
−
2
)
,
(
−
3
2
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
5
2
)
)
Question
20
20.
Find the set of points satisfying the equation
y
=
5
(i)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
0
,
5
)
,
(
1
,
5
)
,
(
4
,
7
)
(ii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
0
,
5
)
,
(
1
,
5
)
,
(
2
,
5
)
(iii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
1
,
4
)
,
(
1
,
5
)
,
(
2
,
5
)
(iv)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
(
−
2
)
,
3
)
,
(
1
,
5
)
,
(
2
,
5
)
(v)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
0
,
5
)
,
(
0
,
6
)
,
(
2
,
5
)
Question
21
21.
Find the set of points satisfying the equation
x
=
4
(i)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
2
,
(
−
2
)
)
,
(
4
,
1
)
,
(
4
,
2
)
(ii)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
4
,
0
)
,
(
4
,
1
)
,
(
4
,
2
)
(iii)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
4
,
0
)
,
(
3
,
2
)
,
(
4
,
2
)
(iv)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
5
,
(
−
1
)
)
,
(
4
,
1
)
,
(
4
,
2
)
(v)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
4
,
0
)
,
(
4
,
1
)
,
(
6
,
4
)
Question
22
22.
Which of the following equations satisfy the given points
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
25
7
)
,
(
0
,
15
7
)
,
(
1
,
5
7
)
,
(
2
,
(
−
5
7
)
)
?
(i)
x
=
2
(ii)
x
=
(
10
7
y
+
74
7
)
(iii)
(
−
10
x
−
7
y
+
15
)
=
0
(iv)
y
=
(
−
6
)
(v)
y
=
(
−
10
7
x
−
22
7
)
Question
23
23.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
1
7
)
)
,
(
(
−
1
)
,
(
−
17
14
)
)
,
(
0
,
(
−
16
7
)
)
,
(
1
,
(
−
47
14
)
)
,
(
2
,
(
−
31
7
)
)
?
(i)
x
=
(
15
14
y
−
43
7
)
(ii)
y
=
(
−
15
14
x
−
16
7
)
(iii)
y
=
2
(iv)
x
=
(
−
4
)
(v)
(
9
x
+
12
y
−
2
)
=
0
Question
24
24.
Which of the following equations satisfy the given points
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
9
4
)
,
(
0
,
1
2
)
,
(
1
,
(
−
5
4
)
)
,
(
2
,
(
−
3
)
)
?
(i)
(
7
x
+
4
y
−
2
)
=
0
(ii)
x
=
(
2
y
−
7
)
(iii)
x
=
5
(iv)
y
=
(
−
2
x
+
16
)
(v)
(
−
16
x
−
8
y
+
32
)
=
0
Question
25
25.
Which of the following equations satisfy the given points
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
)
,
(
0
,
1
)
,
(
1
,
1
)
,
(
2
,
1
)
?
(i)
x
=
(
−
6
)
(ii)
y
=
1
(iii)
y
=
(
−
2
3
x
−
3
)
(iv)
(
−
6
x
−
9
y
+
6
)
=
0
(v)
(
16
x
+
9
y
−
6
)
=
0
Question
26
26.
Which of the following equations satisfy the given points
(
0
,
(
−
2
)
)
,
(
0
,
(
−
1
)
)
,
(
0
,
0
)
,
(
0
,
1
)
,
(
0
,
2
)
?
(i)
(
3
x
+
4
y
−
2
)
=
0
(ii)
x
=
0
(iii)
x
=
(
3
14
y
+
3
7
)
(iv)
y
=
(
−
2
)
(v)
y
=
(
−
3
14
x
−
2
)
Question
27
27.
Which of the displayed lines represent the equation
(
3
x
−
5
y
−
2
)
=
0
?
(i)
line with point
O
(ii)
line with point
R
(iii)
line with point
P
(iv)
line with point
Q
(v)
line with point
S
Question
28
28.
Which of the displayed lines represent the equation
y
=
1
(i)
line with point
N
(ii)
line with point
P
(iii)
line with point
Q
(iv)
line with point
O
(v)
line with point
M
Question
29
29.
Which of the displayed lines represent the equation
x
=
(
−
8
)
(i)
line with point
S
(ii)
line with point
V
(iii)
line with point
U
(iv)
line with point
R
(v)
line with point
T
Question
30
30.
Which of the displayed lines represent the equation
y
=
(
4
5
x
−
1
)
(i)
line with point
Q
(ii)
line with point
P
(iii)
line with point
O
(iv)
line with point
R
(v)
line with point
S
Question
31
31.
Which of the displayed lines represent the equation
y
=
(
−
2
7
x
)
(i)
line with point
R
(ii)
line with point
U
(iii)
line with point
T
(iv)
line with point
S
(v)
line with point
Q
Question
32
32.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
0
,
(
−
9
)
)
(i)
y
=
(
−
7
)
(ii)
y
=
(
−
10
)
(iii)
y
=
(
−
9
)
(iv)
x
=
2
(v)
x
=
0
Question
33
33.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
(
−
3
)
,
(
−
9
)
)
(i)
x
=
(
−
1
)
(ii)
x
=
(
−
4
)
(iii)
y
=
(
−
6
)
(iv)
y
=
(
−
9
)
(v)
x
=
(
−
3
)
Assignment Key
1) (v)
2) (iv)
3) (i)
4) (ii)
5) (iv)
6) (ii)
7) (v)
8) (v)
9) (ii)
10) (v)
11) (iii)
12) (i)
13) (ii)
14) (iii)
15) (ii)
16) (iii)
17) (iii)
18) (iv)
19) (iii)
20) (ii)
21) (ii)
22) (iii)
23) (ii)
24) (i)
25) (ii)
26) (ii)
27) (i)
28) (v)
29) (iv)
30) (iii)
31) (v)
32) (iii)
33) (v)